Abstract
AbstractIt is well known that any planar convex body A permits to inscribe an affine-regular hexagon $$H_A$$ H A . We prove that the centroid of A belongs to the homothetic image of $$H_A$$ H A with ratio $$\frac{4}{21}$$ 4 21 and the center in the center of $$H_A$$ H A . This ratio cannot be decreased.
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